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Finding the Fourth Proportional to 101,965.92, 140,708.40 and 56,647.08

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Solution

The fourth proportional to 101,965.92, 140,708.40 and 56,647.08 is: 78,170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,965.92 : 140,708.40 = 56,647.08 : x
  2. Step 2: Convert to fraction form
    101,965.92/140,708.40 = 56,647.08/x
  3. Step 3: Cross multiply
    101,965.92x = 140,708.40 × 56,647.08
  4. Step 4: Simplify right side
    101,965.92x = 7,970,719,991.47
  5. Step 5: Solve for x
    x = 7,970,719,991.47/101,965.92
  6. Step 6: Final answer
    x = 78,170.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.